MinT - Best Known (65, 65+3, s)-Nets in Base 2

Best Known (65, 65+3, s)-Nets in Base 2

(65, 65+3, large)-Net over F₂ — Constructive and digital

Digital (65, 68, large)-net over F₂, using

t-expansion [i] based on digital (64, 68, large)-net over F₂, using
- 3 times m-reduction [i] based on digital (64, 71, large)-net over F₂, using
  - nets constructed from net-embeddable BCH codes [i]

(65, 65+3, large)-Net in Base 2 — Upper bound on s

There is no (65, 68, large)-net in base 2, because

1 times m-reduction [i] would yield (65, 67, large)-net in base 2, but
- mutually orthogonal hypercube bound [i]